Problem

For a superconducting material at a temperature T below the critical temperature TC, the c...

For a superconducting material at a temperature T below the critical temperature TC, the critical field HC(T) depends on temperature according to the relationship

where HC(0) is the critical field at 0 K.

(a) Using the data in Table 18.7, calculate the critical magnetic fields for tin at 1.5 and 2.5 K.


(b) To what temperature must tin be cooled in a magnetic field of 20,000 A/m for it to be superconductive?

Table 18.7 Critical Temperatures and Magnetic Fluxes for Selected Superconducting Materials

Material

Critical Temperature TC (K)

Critical Magnetic Flux Density BC (tesla)a

Elementsb

Tungsten

0.02

0.0001

Titanium

0.40

0.0056

Aluminum

1.18

0.0105

Tin

3.72

0.0305

Mercury (α)

4.15

0.0411

Compounds and Alloysb

Nb–Ti alloy

 

 

Nb–Zr alloy

10.2

12

PbMo6S8

10.8

11

V3Ga

14.0

45

Nb3Sn

16.5

22

Nb3Al

18.3

22

Nb3Ge

18.9

32

Ceramic Compounds

YBa2Cu3O7

92

Bi2Sr2Ca2Cu3O10

110

Tl2Ba2Ca2Cu3O10

125

HgBa2Ca2Cu2O8

153

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